9. Implied interest rate and period Consider the case of the following annuities, and the need to compute either their expected rate of return or duration. Joshua inherited an annuity worth $6,830.77 from his uncle. The annuity will pay him eight equal payments of $1,100 at the end of each year. The annuity fund is offering a return of Joshua's friend, Willie, has hired a financial planner for advice on retirement. Considering Willie's current expenses and expected future lifestyle changes, the financial planner has stated that once Willie crosses a threshold of $1,387,311 in savings, he will have enough money for retirement. Willie has nothing saved for his retirement yet, so he plans to start depositing $25,000 in a retirement fund at a fixed rate of 6.00% at the end of each year. It will take v for Willie to reach his retirement goal.

9. Implied interest rate and period Consider the case of the following annuities, and the need to compute either their expected rate of return or duration. Joshua inherited an annuity worth $6,830.77 from his uncle. The annuity will pay him eight equal payments of $1,100 at the end of each year. The annuity fund is offering a return of Joshua's friend, Willie, has hired a financial planner for advice on retirement. Considering Willie's current expenses and expected future lifestyle changes, the financial planner has stated that once Willie crosses a threshold of $1,387,311 in savings, he will have enough money for retirement. Willie has nothing saved for his retirement yet, so he plans to start depositing $25,000 in a retirement fund at a fixed rate of 6.00% at the end of each year. It will take v for Willie to reach his retirement goal.

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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9. Implied interest rate and period Consider the case of the following annuities, and the need to compute either their expected rate of return or duration. Jacob needed money for some unexpected expenses, so he borrowed $2,138.41 from a friend and agreed to repay the loan in three equal installments of $800 at the end of each year. The agreement is offering an implied interest rate of . Jacob’s friend, Devan, wants to go to business school. While his father will share some of the expenses, Devan still needs to put in the rest on his own. But Devan has no money saved for it yet. According to his calculations, it will cost him $31,897 to complete the business program, including tuition, cost of living, and other expenses. He has decided to deposit $3,800 at the end of every year in a mutual fund, from which he expects to earn a fixed 6% rate of return. It will take approximately for Devan to save enough money to go to business school.
Suppose that an individual invests $2,500 at the end of each of the next 6 years and earns an annual interest rate of 8%. Calculate the present value of this series of annuity payments B)Suppose that an individual invests $2,500 at the beginning of each of the next 6 years and earns an annual interest rate of 8%. Calculate the value of this series of annuity payments. How does this result compare with the solution to Part A?
Your grandparents would like to establish a trust fund that will pay you and your heirs $175,000 per year forever with the first payment one year from today. If the trust fund earns an annual return of 3.4 percent, how much must your grandparents deposit today?
The Wright family wants to save money to travel the world. They purchase an annuity with a yearly payment of s480 that earns 4% interest, compounded annually. Payments will be made at the end of each year. Find the total value of the annuity in 14 years. Do not round any intermediate computations, and round your final answer to the nearest cent. If necessary, refer to the list of financial formulas.
Joe purchases a£50,30-year annuity. Larry purchases a£50perpetuity. In both cases, payments begin in one year, and the appropriate interest rate is12.5%. What is the present value of Larry's payments that will occur from year 31 onwards?
Find the monthly payment for each loan below. Remember to assume monthly compounding. 11. Sean and Sam purchase a house with a $20,000 down payment. The purchase price of the house was $475,000 and they financed the rest for 3.75% for 30 years. Their annual taxes will be $2856, and their annual insurance will be $1984. What will their monthly principal, interest, tax, and insurance (PITI) mortgage payment be?
Your uncle is about to retire, and he wants to buy an annuity that will provide him with $7,000 of income a year for 25 years, with the first payment coming immediately. The going rate on such annuities is 5.25%. How much would it cost him to buy the annuity today?
Suppose that Kate is 45 years old and has no retirement savings. She wants to begin saving for retirement, with the first payment coming one year from now. She can save $20,000 per year and will invest that amount in the stock market, where it is expected to yield an average annual return of 5.00% return. Assume that this rate will be constant for the rest of her's life. In short, this scenario fits all the criteria of an ordinary annuity. Kate would like to calculate how much money she will have at age 60. Use the following table to indicate which values you should enter on your financial calculator. For example, if you are using the value of 1 for N, use the selection list above N in the table to select that value. Input Keystroke Output N Input Keystroke N Output I/Y Using a financial calculator yields a future value of this ordinary annuity to be approximately Kate would now like to calculate how much money she will have at age 65. Input Keystroke N Output Use the following table…
Q1) Molly receives $3,700 from an investment at the beginning of every month for 2 years at 3.62% compounded semi-annually. What type of annuity is this? Q2) Jeffrey deposits $450 at the end of every quarter for 4 years and 6 months in a retirement fund at 5.30% compounded semi-annually. What type of annuity is this?Q3) How much should Shawn have in a savings account that is earning 3.75% compounded quarterly, if he plans to withdraw $2,250 from this account at the end of every quarter for 7 years?
On the basis of how long she has until retirement and her comfort with investment risk, Chelsea has decided that she wants to allocate the money in her retirement account as follows: 75% to equities, 20% to fixed income, and 5% to cash. If Chelsea assumes that each asset class earns the low end of the historical average rates of return provided below, what overall rate of return would she expect to earn over the long term? Equities: 8%-12% Fixed Income: 4% - 7% . Cash: 2% - 5% . O 6.90% O 5.60% O 10.65% O 7.75% 4.67%
One of the categories of options available to investors and speculators is LEPOs. Assuming 7.00 per cent margin, what would be the percentage return and dollar profit to an investor who purchased one LEPO (for 1000 shares) for a premium of $26 220 and later closed out the position when the LEPO premium was $28 430?
At the time of her grandson's birth, a grandmother deposits $4000 in an account that pays 4% compounded monthly. What will be the value of the account at the child's twenty-first birthday, assuming that no other deposits or withdrawals are made during this period? Click the icon to view some finance formulas. The value of the account will be $ (Round to the nearest dollar as needed.) Formulas In the provided formulas, A is the balance in the account after t years, P is the principal investment, r is the annual interest rate in decimal form, n is the number of compounding periods per year, and Y is the investment's effective annual yield in decimal form. nt A=P(1+1) " P= A (₁.3⁰² Print A=Pet Y Done -1

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